# STM1001 Topic 6: t-tests for two-sample hypothesis testing

*2023-01-11*

# Introduction

Having learnt in the previous topic about ** Hypothesis Testing** via the

**, this week we will extend our knowledge to two more types of \(t\)-tests: the**

*one-sample \(t\)-test***, and the**

*two-sample \(t\)-test for independent samples***. Throughout this topic, we will refer to these tests as the**

*two-sample \(t\)-test for dependent (paired) samples***and the**

*independent samples \(t\)-test***respectively.**

*paired \(t\)-test*In this topic, we will learn what each of these tests are via examples, as well as the following important steps:

- Visualising the data
- Checking the assumptions
- Carrying out the test

Finally, in addition to learning how to determine whether or not differences in means are ** statistically significant**, we will learn how to determine the relative

**of any differences, by learning about**

*size***.**

*effect sizes*